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Simplifying 4(16x + -35) = 27(-29 + 9x) Reorder the terms: 4(-35 + 16x) = 27(-29 + 9x) (-35 * 4 + 16x * 4) = 27(-29 + 9x) (-140 + 64x) = 27(-29 + 9x) -140 + 64x = (-29 * 27 + 9x * 27) -140 + 64x = (-783 + 243x) Solving -140 + 64x = -783 + 243x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-243x' to each side of the equation. -140 + 64x + -243x = -783 + 243x + -243x Combine like terms: 64x + -243x = -179x -140 + -179x = -783 + 243x + -243x Combine like terms: 243x + -243x = 0 -140 + -179x = -783 + 0 -140 + -179x = -783 Add '140' to each side of the equation. -140 + 140 + -179x = -783 + 140 Combine like terms: -140 + 140 = 0 0 + -179x = -783 + 140 -179x = -783 + 140 Combine like terms: -783 + 140 = -643 -179x = -643 Divide each side by '-179'. x = 3.592178771 Simplifying x = 3.592178771
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